| 8. Maths On ( P, S) Residue M. Ganeshwar Rao In this paper we generalize the notion of reduced residue system (mod n) using direct factor sets and regular divisor of n.2000 Mathematics Subject Classification: Primary: 11A07 Secondary: 11A25 Keywords: Direct Factor Set; (P; S) - System (Mod N); S-Convolution | |

| Spectral measures and separation of variables (Volume 80B) - Fox, David W. Journal of Research of the National Bureau of Standards Keywords: Convolution; Hilbert space; separation of variables; spectral measure; tensor products Downloads: 80 | |

| 3spds_extantextinct - 3_spds title: extant!=extinct Keywords: supercollider; noise; experimental; computer music; wavelet; granular synthesis; convolution Downloads: 34 |

| 5. Zak Transform For Boehmians It is known that the classical Zak Transform is a linear unitary transformation from L2(R) onto L2 (Q) whose image can be completely characterized. In this paper, we shall construct a Boehmian space B1 containing L2(R) and another Boehmian space B2 containing L2 (Q) and define Zak transform as a continuous linear map of B1 onto B2. We shall also prove that this extended definition is consistent with the classical definition and that there are Boehmains which are not L2 – functions but fo... Keywords: Boehmians; Convolution; Lebesgue Measurable Functions; Sequence; and Zak Transform Downloads: 22 | |

| High-precision Harmonic Detection in Convolution The Fast Fourier transform (FFT) exist frequency domain spectral leakage, picket fence effect, as well as non-integer wave phenomenon. In this paper, a time-frequency filter is designed,which can detect the frequency, amplitude and phase of any order harmonics and interharmonics in signal by means of time domain convolution. Negative half-axis frequency is restrained by Hilbert transform. The theory analysis are carried to this method and the calculate formula are concluded... Keywords: Harmonic Analysis; Time-frequency Filtering; Convolution; Hilbert Transform; Frequency Fluctuation Downloads: 16 | |

| Airplane stability calculations with a card programmable pocket calculator - Sherman, W. L Programs are presented for calculating airplane stability characteristics with a card programmable pocket calculator. These calculations include eigenvalues of the characteristic equations of lateral and longitudinal motion as well as stability parameters such as the time to damp to one-half amplitude or the damping ratio. The effects of wind shear are included. Background information and the equations programmed are given... Keywords: DECODING; TRANSFORMATIONS (MATHEMATICS); ALGORITHMS; CONVOLUTION INTEGRALS; DEEP SPACE NETWORK; POLYNOMIALS Downloads: 150 | |

| Waves: IR-1 owner's manual Waves: IR-1 owner's manual Keywords: reverb; convolution; waves; impulse; output; signal; controls; direct; software; guide; software guide; impulse response; reverb time; direct signal; dry signal; early reflections; surround output; sampled acoustics; flat point; convolution convolution Downloads: 69 | |

| Experimental facilities for electric propulsion testing - Ruyten, Wilhelmus M. Experimental facilities for electric propulsion testing at the University of Tennessee Space Institute, jointly operated by the Center for Advanced Space Propulsion, include a cryogenically cooled, computer-controlled, 9 ft diameter by 20 ft long vacuum chamber, capable of maintaining a baseline pressure of 10(exp -7) Torr, a 30 cm diameter ion thruster, and laser diagnostic and electrical diagnostic instrumentation... Keywords: CODES; COMPUTER PROGRAMMING; CONVOLUTION INTEGRALS; SIGNAL ENCODING; TRELLIS CODING; VITERBI DECODERS; ALGORITHMS; MATRICES (MATHEMATICS); SCALARS Downloads: 84 | |

| Inflight fuel tank temperature survey data - Pasion, A. J Statistical summaries of the fuel and air temperature data for twelve different routes and for different aircraft models (B747, B707, DC-10 and DC-8), are given. The minimum fuel, total air and static air temperature expected for a 0.3 probability were summarized in table form. Minimum fuel temperature extremes agreed with calculated predictions and the minimum fuel temperature did not necessarily equal the minimum total air temperature even for extreme weather, long range flights. Keywords: ALGORITHMS; DECODING; DEEP SPACE NETWORK; FAST FOURIER TRANSFORMATIONS; CONVOLUTION INTEGRALS; POLYNOMIALS; SOLOMON COMPUTERS Downloads: 70 | |

| Seabed Lagging Application Independent Component Analysis for Filtering Airwaves in Seabed Logging ApplicationMarine controlled source electromagnetic (CSEM) sensing method used for the detection of hydrocarbons based reservoirs in seabed logging application does not perform well due to the presence of the airwaves (or sea-surface). These airwaves interfere with the signal from the subsurface, as a result masks the receiver response at larger offsets... Keywords: Independent Component Analysis; FASTICA; de-convolution algorithm marine; Controlled Source Electromagnetic; Sea Bed Logging; Air Wave Downloads: 44 | |

| An Investigation of EME as a Potential Cause of Fuel Tank Ignition - Ely, Jay J. NASA researchers were tasked to study the potential for radio signals to excite an aircraft fuel quantity indication system (FQIS) enough to cause arcing, sparking or excessive heating within a fuel tank. Computational techniques were used to determine the threat from external high intensity radiated field (HIRF) transmitters nearby, like shipboard and airborne RADAR systems. Experimental methods were used to determine the threat from Portable Electronic Devices (PEDs) carried aboard by passenge... Keywords: FUEL PRODUCTION; PHOTOGRAMMETRY; CONVOLUTION INTEGRALS; FUSION; WIND TUNNEL TESTS; RECONSTRUCTION; MAPPING; CHEMICAL INDICATORS; FLOW DISTRIBUTION Downloads: 76 | |

| Turbine Engine Hot Section Technology (HOST) - NON A two-day workshop on the research and plans for turbine engine hot section durability problems was held on October 25 and 26, 1983, at the NASA Lewis Research Center. Presentations were made during six sessions, including structural analysis, fatigue and fracture, surface protective coatings, combustion, turbine heat transfer, and instrumentation, that dealt with the thermal and fluid environment around liners, blades, and vanes, and with material coatings, constitutive behavior, stress-strain ... Keywords: DEFORMATION; NONLINEARITY; TRANSFORMATIONS (MATHEMATICS); VISCOELASTICITY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONVOLUTION INTEGRALS; DIFFERENTIAL EQUATIONS; PROBLEM SOLVING Downloads: 281 | |

| I.S. Mistakidis#1, S.I. Mistakidis#2, K. Karamanos# - Feng Cheng Chang A compact template for the division of two giving polynomials to find quotient and reminder is derived. The process is very simple and direct, comparing to the familiar classical long polynomial division and synthetic polynomial division. Keywords: Polynomial division; Long polynomial division; Synthetic polynomial division; Convolution matrix; Polynomial multiplication Downloads: 45 | |

| Lectures on Image Processing - Alan Peters Updated 11 March 2013 There was an error in the Fourier Transform lecture (No. 6). The calculation of the wavelength of a Fourier component from its position on the Fourier plane was incorrect. That has been corrected. Please download the latest version. ----- This is a 20-lecture series on Image Processing that I have created over the past 14 years (1999-2013) for my course, EECE/CS 253, at the Vanderbilt University School of Engineering... Keywords: image processing; image enhancement; image noise reduction; Fourier transforms; convolution; mathematical morphology Downloads: 121,732 (23 reviews) |

| mit :: ai :: aim :: AIM-833 From the bitsavers.org collection, a scanned-in computer-related document.mit :: ai :: aim :: AIM-833 Keywords: filter; regularization; gaussian; poggio; convolution; edge; optimal; yuille; function; data; second derivative; regularizing filter; edge detection; data points; regularization filter; variational principle; green function; cubic spline; convolution filter; regularization method Downloads: 30 | |

| Results of the Australian geodetic VLBI experiment - Harvey, B. R. The 250-2500 km baseline vectors between radio telescopes located at Tidbinbilla (DSS43) near Canberra, Parkes, Fleurs (X3) near Sydney, Hobart and Alice Springs were determined from radio interferometric observations of extragalactic sources. The observations were made during two 24-hour sessions on 26 April and 3 May 1982, and one 12-hour night-time session on 28 April 1982. The 275 km Tidbinbilla - Parkes baseline was measured with an accuracy of plus or minus 6 cm... Keywords: CODE DIVISION MULTIPLE ACCESS; SPACE COMMUNICATION; TELECOMMUNICATION; TELEMETRY; CONVOLUTION INTEGRALS; DATA TRANSMISSION; DEEP SPACE NETWORK; SIGNAL PROCESSING Downloads: 60 | |

| Communications systems research - Combinatorial communication - NON Cross correlation of reverse maximal length shift register sequences Keywords: DECODING; OSCILLATORS; PROBABILITY THEORY; PERFORMANCE PREDICTION; PIONEER SPACE PROBES; SEQUENTIAL COMPUTERS; SPACECRAFT COMMUNICATION; CODING; CONVOLUTION INTEGRALS; ERRORS; NOISE (SOUND) Downloads: 86 | |

| Density Estimation with Mercer Kernels - Macready, William G We present a new method for density estimation based on Mercer kernels. The density estimate can be understood as the density induced on a data manifold by a mixture of Gaussians fit in a feature space. As is usual, the feature space and data manifold are defined with any suitable positive-definite kernel function. We modify the standard EM algorithm for mixtures of Gaussians to infer the parameters of the density... Keywords: MATHEMATICAL MODELS; PRONY SERIES; TEMPERATURE DISTRIBUTION; COMPUTERIZED SIMULATION; MAXWELL EQUATION; STEELS; DYNAMIC LOADS; VISCOELASTICITY; THERMODYNAMICS; DISSIPATION; RUBBER; STRAIN DISTRIBUTION; NUMERICAL ANALYSIS; CONVOLUTION INTEGRALS; FINITE ELEMENT METHOD Downloads: 78 | |

| Space disposal of nuclear wastes - Perlich, W. F No Abstract Available Keywords: COMPUTER PROGRAMS; COMPUTER PROGRAMMING; FAST FOURIER TRANSFORMATIONS; CONVOLUTION INTEGRALS; HISTORIES; LINEAR SYSTEMS; MATHEMATICAL PROGRAMMING; TIME DEPENDENCE; TIME RESPONSE; ALGORITHMS; ANALYSIS (MATHEMATICS) Downloads: 65 | |

| Natural icing of an axial-flow turbojet engine in flight for a single icing condition - Acker, L. W No Abstract Available Keywords: COMPUTERIZED SIMULATION; SPACECRAFT COMMUNICATION; TELEMETRY; DECODING; ERROR ANALYSIS; INFORMATION THEORY; SUPERPOSITION (MATHEMATICS); VITERBI DECODERS; CONVOLUTION INTEGRALS; DEEP SPACE NETWORK; MATHEMATICAL MODELS Downloads: 86 | |

| A comparison of numerical methods for the prediction of two-dimensional heat transfer in an electrothermal deicer pad - Wright, William B Transient, numerical simulations of the deicing of composite aircraft components by electrothermal heating have been performed in a 2-D rectangular geometry. Seven numerical schemes and four solution methods were used to find the most efficient numerical procedure for this problem. The phase change in the ice was simulated using the Enthalpy method along with the Method for Assumed States. Numerical solutions illustrating deicer performance for various conditions are presented... Keywords: COMPUTER PROGRAMS; RADIOACTIVE DECAY; SPECTRUM ANALYSIS; EPOXY COMPOUNDS; HALF LIFE; POSITRONS; RADIATION SPECTRA; CONVOLUTION INTEGRALS; EXPONENTIAL FUNCTIONS; LEAST SQUARES METHOD; METAL IONS Downloads: 65 | |

| Problems And Exercises In Integral Equations - M. Krasnov, A. Kiselev, G. Makarenko As the name suggests the book is about integral equations and methods of solving them under different conditions. The book has three chapters. Chapter 1 covers Volterra Integral Equations in details. Chapter 2 covers Fredholm integral equations. Finally in Chapter 3, Approximate Methods for solving integral equations are discussed. There are plenty of solved examples in the text to illustrate the methods, along with problems to solve... Keywords: integral equations; volterra integral equations; kernels; convolution; euler integrals; abel's problem; laplace transformations; fredholm integral equations; eigenfunctions; green's functions; approximate methods; characteristic numbers; problems and solutions; mathematics Downloads: 809 | |

| MIT 18.085 Computational Science and Engineering I, Fall 2008 - MIT OpenCourseWare This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications. License: Creative Commons BY-NC-SA More information at ocw.mit.edu/terms Keywords: linear algebra, networks, Lagrange multipliers, differential equations of equilibrium, Laplace's equation, potential flow, boundary-value problems, Fourier series, discrete Fourier transform, convolution Downloads: 85,169 | |

| BBC Research and Development Report Number 1968-25 R&D Report 1968-25 : Calculation of overall line-up errors for PAL colour television distribution chains J.W. Head It is here assumed that errors in anyone link of a distribution chain are distributed rectangularly, and that each such distribution can be regarded as discrete or quantized. It is also assumed that errors within individual links can be added (linearly) to obtain the overall error. The distribution of overall errors is calculated by convolution from the rectangular distribution for ... Keywords: distribution; rectangular; distributions; errors; quantized; quantization; convolution; gaussian; probability; equal; pal colour; distribution chains; rectangular distributions; gaussian distribution; rectangular distribution; television distribution; quantization interval; actual distribution; equal rectangular; colour television Downloads: 18 | |

| BSTJ 42: 2. March 1963: Delay Distributions for One Line with Poisson Input, General Holding Times, and Various Orders of Service. (Takacs, L.) Bell System Technical Journal, 42: 2. March 1963 pp 487-503. Delay Distributions for One Line with Poisson Input, General Holding Times, and Various Orders of Service. (Takacs, L.) Keywords: distribution; stationary; delay; function; random; denote; distributions; finite; distribution function; theorem; iterated convolution; call finds; delay distributions; holding time; system technical; stationary distribution; bell system; busy period; stationary process Downloads: 24 | |

| BBC Research and Development Report Number 1970-11 R&D Report 1970-11 : Combined effect of several interfering signals J.W. Head When a site is considered for a new radio or television transmitter the best available assessment of interference expected from existing transmitters operating on or near the same frequency is required. This involves calculation of the combined effect of two or more interfering signals simultaneously present. The information available about each interfering signal is its distribution in time, that is, the percentages o... Keywords: signals; signal; distribution; quantized; correlation; probability; resultant; interfering; deviation; distributions; interfering signal; department report; standard deviation; algebraic product; interfering signals; standard deviations; square root; field strength; quantized convolution; correlation coefficient Downloads: 22 | |

| BBC Research and Development Report Number 1967-42 R&D Report 1967-42 : Tolerances for PAL colour television R.D.A. Maurice The problem of ensuring satisfactory colour pictures in the viewer's home differs in difficulty but not in kind from that of ensuring satisfactory monochrome pictures. Historically, monochrome picture quality has improved slowly over the years, but we still lack the necessary administrative means by which adequate quality can be guaranteed to the domestic viewer... Keywords: errors; tolerances; distributions; statistical; rectangular; convolution; colour; probability; signal; television; statistical distributions; statistical distribution; colour television; picture quality; television chain; cumulative probability; differential phase; rectangular distributions; performance figures; numerically greater Downloads: 31 | |

| mit :: ai :: aim :: AIM-780 From the bitsavers.org collection, a scanned-in computer-related document.mit :: ai :: aim :: AIM-780 Keywords: disparity; prism; surface; matching; image; tlie; convolution; stereo; correlation; elevation; elevation map; disparity measurements; prism system; sign representation; artificial intelligence; intelligence laboratory; sign sign; binocular stereo; random dot; correlation peak Downloads: 27 | |

| mit :: ai :: aim :: AITR-579 From the bitsavers.org collection, a scanned-in computer-related document.mit :: ai :: aim :: AITR-579 Keywords: intensity; orientation; operator; output; changes; primal; detection; edge; image; visual; convolution output; single channel; intensity changes; human visual; primal sketch; intensity function; second derivative; raw primal; edge detection; intensity change Downloads: 29 | |

| MIT 6.003 Signals and Systems, Fall 2011 Instructor: Dennis Freeman The analysis of signals and systems forms a key part of many modern technologies, including communications and feedback & control. These lectures give a conceptual and mathematical introduction to the topic, covering both analog and digital systems. View the complete course: http://ocw.mit.edu/MIT 6-003F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu Keywords: discrete-time signal; continuous-time signal; linear time-invariant system; Fourier representation; Laplace transform; Z transform; sampling; difference equation; differential equation; feedback and control; communications; signal processing; convolution; sampling; modulation; frequency response Downloads: 30,170 | |

| MIT20.309F06 - MIT OpenCourseWare This course covers sensing and measurement for quantitative molecular/cell/tissue analysis, in terms of genetic, biochemical, and biophysical properties. Methods include light and fluorescence microscopies; electro-mechanical probes such as atomic force microscopy, laser and magnetic traps, and MEMS devices; and the application of statistics, probability and noise analysis to experimental data. Enrollment preference is given to juniors and seniors. Keywords: DNA analysis; Fourier analysis; FFT; DNA melting; electronics; microscopy; microscope; probes; biology; atomic force microscope; AFM; scanning probe microscope; image processing; MATLAB; convolution; optoelectronics; rheology; fluorescence; noise; detector; optics; diffraction; optical trap; 3D; 3-D; three-dimensional imaging; visualization Downloads: 1,935 | |

| MIT 18.03 Differential Equations, Spring 2006 - MIT OpenCourseWare Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especially second order with constant coefficients; Undetermined ... Keywords: Ordinary Differential Equations, ODE, modeling physical systems, first-order ODE's, Linear ODE's, second order ODE's, second order ODE's with constant coefficients, Undetermined coefficients, variation of parameters, Sinusoidal signals, exponential signals, oscillations, damping, resonance, Complex numbers and exponentials, Fourier series, periodic solutions, Delta functions, convolution, Laplace transform methods Matrix systems, first order linear systems, eigenvalues and eigenvectors, Non-linear autonomous systems, critical point analysis, phase plane diagrams Downloads: 158,001 (1 review) | |